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Finding the Fourth Proportional to 5,775.98, 7,970.91 and 3,123.44

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Solution

The fourth proportional to 5,775.98, 7,970.91 and 3,123.44 is: 4,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.98 : 7,970.91 = 3,123.44 : x
  2. Step 2: Convert to fraction form
    5,775.98/7,970.91 = 3,123.44/x
  3. Step 3: Cross multiply
    5,775.98x = 7,970.91 × 3,123.44
  4. Step 4: Simplify right side
    5,775.98x = 24,896,659.13
  5. Step 5: Solve for x
    x = 24,896,659.13/5,775.98
  6. Step 6: Final answer
    x = 4,310.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.